Analysis of a Rotavirus Transmission Model With Temporary Immunity and Protection From Maternal Antibody

LU Kun; LI Jianquan; TAN Hongwu

doi:10.21656/1000-0887.400391

Volume 41 Issue 7

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LU Kun, LI Jianquan, TAN Hongwu. Analysis of a Rotavirus Transmission Model With Temporary Immunity and Protection From Maternal Antibody[J]. Applied Mathematics and Mechanics, 2020, 41(7): 796-806. doi: 10.21656/1000-0887.400391

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Analysis of a Rotavirus Transmission Model With Temporary Immunity and Protection From Maternal Antibody

doi: 10.21656/1000-0887.400391

Department of Mathematics, School of Arts and Sciences,Shaanxi University of Science & Technology, Xi’an 710021, P.R.China

Funds: The National Natural Science Foundation of China(11301314；11501443；11971281)

Received Date: 2019-12-30
Rev Recd Date: 2020-03-25
Publish Date: 2020-07-01

Abstract

Abstract

Rotavirus is the leading cause of severe diarrhea in children worldwide. To study the spread of rotavirus, a rotavirus transmission model was proposed based on the characteristics of temporary immunity after infection and maternal antibody protecting the newborn. By means of dynamic analysis, the basic reproduction number deciding the persistence of the infection was obtained. Based on the local stability analysis of the feasible equilibria, it was proved that the diseasefree equilibrium will be globally asymptotically stable if the basic reproduction number is no more than 1, through construction of appropriate Lyapunov functions. The disease will persist in the population if the basic reproduction number is more than 1 according to the Fonda lemma.
- basic reproduction number,
- global asymptotic stability,
- persistence,
- temporary immunity,
- rotavirus

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References(21)

References

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